Kinematics of Acceleration-Induced Excitations in Confined Quantum Fields

TL;DR

This paper analyzes how uniform acceleration affects quantum field excitations in a confined cavity, revealing universal spectral decay and resonance phenomena through exact transformations, advancing understanding of acceleration-induced quantum effects.

Contribution

It provides exact analytical solutions for quantum excitations in a confined cavity undergoing acceleration, uncovering universal spectral behaviors and resonance effects.

Findings

Universal power-law decay in excitation spectrum

Alternating pattern in particle production

Resonant enhancement of mode excitations

Abstract

We investigate quantum field excitations in a rigid cavity that undergoes a transition from inertial motion to uniform acceleration while maintaining constant proper length. By constructing exact Bogoliubov transformations between inertial and accelerated mode bases, we analyze the induced excitations and identify a universal power-law decay in the excitation power spectrum and an alternating pattern in particle production. The spectrum's dependence solely on the acceleration, and not on the size of the box or the observer's position, highlights a kinematic universality akin to that seen in horizon thermodynamics. Generalization to time-dependent accelerations reveals a convolution structure for the Bogoliubov coefficients, with resonant oscillations selectively enhancing mode excitations. These results provide new analytical insights into the interplay between acceleration, confinement, and quantum excitations.